The price of sugar increases by 20%, by what % should a housewife reduce the consumption of sugar so that expenditure on sugar can be same as before ?(a) 15%(b) 16.66%(c) 12%(d) 9%

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1. (b) 16.66%

   Earlier for ₹x we could purchase y gm of sugar.
   Now we pay ₹1.2x for y gm of sugar

   (As there was an increase in price so, x + 20%x = 1.2x)

   At current rates for ₹x you can purchase y/1.2 gm of sugar

   So the reduced consumption is y-(y/1.2)

   Percentage change = (reduced consumption/ original consumption ) *100

   That is (0.2/1.2) *100 = 16.66% (approx)

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